James O'Shea: Sums of squares in certain quaternion and octonion algebras


Submission: 2010, Dec 7

Formulae for the levels and sublevels of certain quaternion and octonion algebras are established. Corollaries concerning the equality of levels and sublevels of quaternion algebras with those of associated octonion algebras are presented.

2010 Mathematics Subject Classification: 11E04, 11E25, 16K20, 17A75

Keywords and Phrases: Level, sublevel, quaternion algebra, octonion algebra

Full text: dvi.gz 12 k, dvi 29 k, ps.gz 597 k, pdf.gz 83 k, pdf 96 k.

Server Home Page